fact(n) refers to n×(n−1)×⋯×3×2×1

Example, fact(10)=9×⋯×3×2×1=3628800, and the summation of the digits of fact(10) is 3+6+2+8+8+0+0=27. Write your program to find the summation of the digits of fact(N).

Input Format

The first line contains an integer T , i.e., number of test cases. Next T lines will contain an integer N.

Output Format

Print the values corresponding to each test case.

Constraints

1≤T≤100
0≤N≤1000